The number 80010
80010 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 127. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45 … 80010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80010: a Harshad number: divisible by its digit sum 9.
- 2
80010 is composite. Its prime factorisation is
- 3
The divisors add up to 239616; without 80010 itself that is 159606, so 80010 is abundant (159606 is more than 80010). Euler's totient φ(80010) = 18144 numbers up to 80010 share no factor with it.
- 4
The digits of 80010 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80010 = 2 \times 3^{2} \times 5 \times 7 \times 127 \]80010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 239616 |
| Euler totient φ(n) | 18144 |
| Square | 6401600100 |
| Cube | 512192024001000 |
| Square root | 282.860390 (= 3√8890) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.001 × |
80010 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and ten |
| Binary (base 2) | 10011100010001010 |
| Octal (base 8) | 234212 |
| Hexadecimal (base 16) | 1388A |
| Base 3 | 11001202100 |
| As time | 80010 seconds = 22 h 13 min 30 s |
Is 80010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80010 ÷ 2 = 40005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80010 ÷ 3 = 26670) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80010 ÷ 5 = 16002) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80010 ÷ 6 = 13335) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80010 ÷ 7 = 11430) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80010 ÷ 9 = 8890) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80010 ÷ 10 = 8001) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80010 a prime number?
No. 80010 = 2 × × 5 × 7 × 127, so it is divisible by 2.
What are the factors of 80010?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 127, 210, 254, 315, 381, 630, 635, 762, 889, 1143, 1270, 1778, 1905, 2286, 2667, 3810, 4445, 5334, 5715, 8001, 8890, 11430, 13335, 16002, 26670, 40005, 80010.
What is 80010 in binary?
10011100010001010 (hexadecimal 1388A, octal 234212).
What is the square root of 80010?
About 282.8604, exactly 3√8890.
Is 80010 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 80010?
80010 is a Harshad number: divisible by its digit sum 9.